Finding the Third Proportional to 50,193 and 109,133

Step by Step Solution

1. Step 1: Write the proportion equation
   50,193 : 109,133 = 109,133 : x
2. Step 2: Convert to fraction form
   50,193/109,133 = 109,133/x
3. Step 3: Cross multiply
   50,193x = 109,133 × 109,133
4. Step 4: Simplify right side
   50,193x = 11,910,011,689
5. Step 5: Solve for x
   x = 11,910,011,689/50,193
6. Step 6: Final answer
   x = 237,284.32